scholarly journals Analysis of Lossy Transmission Lines Terminated by Schottky Diode Circuit

2018 ◽  
Vol 2 (6) ◽  
Author(s):  
Vasil G. Angelov
Keyword(s):  
Transmission Line ◽  
Mixed Problem ◽  
Schottky Diode ◽  
Transmission Lines ◽  
Oscillatory Solution ◽  
System Of Differential Equations ◽  
Initial Value ◽  
Line System ◽  
Lossy Transmission ◽  
Lossy Transmission Line

In the present paper we consider a lossy transmission line terminated by a circuit corresponding to a Schottky diode. On the base of Kirchhoff’s law boundary conditions are derived. Then a mixed problem for the lossy transmission line system is formulated. We reduce the mixed problem for the hyperbolic transmission line system to an initial value problem for a system of differential equations with delays on the boundary. We prove existence-uniqueness theorem for oscillatory solution. The paper ends with numerical example with real values of the Schottky diode parameters.

scholarly journals LOSSY TRANSMISSION LINES TERMINATED BY PARALLEL CONNECTED RLC-ELEMENTS WITHOUT THE HEAVISIDE’S CONDITION

2019 ◽  
pp. 1-13
Author(s):  
Vasil G. Angelov
Keyword(s):  
Transmission Line ◽  
Mixed Problem ◽  
Hyperbolic System ◽  
Transmission Lines ◽  
Electromagnetic Waves ◽  
Neutral Type ◽  
Generalized Solution ◽  
Line System ◽  
Lossy Transmission ◽  
Transverse Electromagnetic

The paper deals with analysis of propagation of transverse electromagnetic waves along lossy transmission lines terminated by a circuit consisting of parallel connected RLCelements. Using the Kirchhoff’s laws we derive boundary conditions and formulate the mixed problem for hyperbolic system describing the lossy transmission line. Without the Heaviside's condition, we cannot guarantee the distortionless propagation of waves and hence we cannot apply the known methods. That is why we apply a different method and obtain conditions for existence-uniqueness of generalized solution. We change variables and formulate a mixed problem for the hyperbolic system with respect to the new variables. The nonlinear characteristics of the RLC-elements generate nonlinearity in the equations of neutral type on the boundary. We propose an operator presentation of the mixed problem for transmission line system and by means of fixed point technique we prove existence-uniqueness of a generalized solution.

scholarly journals LOSSY TRANSMISSION LINES TERMINATED BY PARALLEL CONNECTED RLC-ELEMENTS WITHOUT THE HEAVISIDE’S CONDITION

2019 ◽  
pp. 1-13 ◽  
Author(s):  
Vasil G. Angelov
Keyword(s):  
Transmission Line ◽  
Mixed Problem ◽  
Hyperbolic System ◽  
Transmission Lines ◽  
Electromagnetic Waves ◽  
Neutral Type ◽  
Generalized Solution ◽  
Line System ◽  
Lossy Transmission ◽  
Transverse Electromagnetic

The paper deals with analysis of propagation of transverse electromagnetic waves along lossy transmission lines terminated by a circuit consisting of parallel connected RLCelements. Using the Kirchhoff’s laws we derive boundary conditions and formulate the mixed problem for hyperbolic system describing the lossy transmission line. Without the Heaviside's condition, we cannot guarantee the distortionless propagation of waves and hence we cannot apply the known methods. That is why we apply a different method and obtain conditions for existence-uniqueness of generalized solution. We change variables and formulate a mixed problem for the hyperbolic system with respect to the new variables. The nonlinear characteristics of the RLC-elements generate nonlinearity in the equations of neutral type on the boundary. We propose an operator presentation of the mixed problem for transmission line system and by means of fixed point technique we prove existence-uniqueness of a generalized solution.

scholarly journals An Extended Solution to the Equations Describing a 3-Conductor Transmission Line

2020 ◽  
Vol 19 ◽  
Keyword(s):  
Transmission Line ◽  
Mixed Problem ◽  
Transmission Lines ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions ◽  
Functional System ◽  
Initial Value ◽  
System Of Functional Equations ◽  
Coupling Approximation ◽  
Weak Coupling Approximation

The full derivation of the generalized and extended solution to the equations describing threeconductor Transmission line is given in this paper; the brief results are presented in a previous paper. The Considerations proceed from the c. Paul formulation of lossless transmission lines terminated by linear loads. In contrast to c. Paul, the conjoint interaction between the two lines is considered here and the influence of the Receptor line is not neglected, that is the weak-coupling approximation is not applied. In result, an extended and Generalized mathematical model compared the original model of c. Paul is obtained. In particular, a mixed Problem for the hyperbolic system describing the three-conductor transmission line is formulated. It is shown That the formulated mixed problem is equivalent to an initial value problem for a functional system on the Boundary of hyperbolic system’s domain with voltages and currents as the unknown functions in this system Are the lines’. The system of functional equations can be resolved by a fixed-point method that enables us to Find an approximated but explicit solution. The method elaborated in this paper might be applied also for linear As well as nonlinear boundary conditions.

scholarly journals Nonlinear Membrane Circuit Loaded on a Lossy Transmission Line without the Heaviside’s Condition

2019 ◽  
Vol 4 (10) ◽  
pp. 190-197 ◽  
Author(s):  
Vasil Angelov
Keyword(s):  
Fixed Point ◽  
Mixed Problem ◽  
Transmission Lines ◽  
Generalized Solution ◽  
Existence Of Solution ◽  
Nonlinear Circuit ◽  
In Series ◽  
Lossy Transmission ◽  
Kirchhoff’S Laws ◽  
Lossy Transmission Line

The paper deals with transmission lines terminated by a nonlinear circuit describing a simplified model of membrane. This means that all elements of the membrane circuit are nonlinear ones as follows: in series connected LR-loads parallel to C-load. Using the Kirchhoff’s laws we formulate boundary conditions. For lossy transmission lines systems with the Heaviside’s condition, the mixed problem is considered in previous papers. The main goal of the present paper is to investigate the same problem for lossy transmission lines without the Heaviside’s condition. We reduce the existence of solution of the more complicated mixed problem for such a system to the existence of fixed point of an operator acting on a suitable function space. Then by ensuring the existence of this fixed point we obtain conditions for existence of a generalized solution of the mixed problem. The obtained conditions are easily verifiable. We demonstrate the advantages of our method by a numerical example.

scholarly journals Classification and direction discrimination of faults in transmission lines using 1D convolutional neural networks

2021 ◽  
Vol 12 (3) ◽  
pp. 1928
Author(s):  
Ahmed Thamer Radhi ◽  
Wael Hussein Zayer ◽  
Adel Manaa Dakhil
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Feature Extraction ◽  
Transmission Line ◽  
Convolutional Neural Networks ◽  
Transmission Lines ◽  
Fault Classification ◽  
Line System ◽  
Direction Discrimination ◽  
Conventional Methods

<span lang="EN-US">This paper presents a fast and accurate fault detection, classification and direction discrimination algorithm of transmission lines using one-dimensional convolutional neural networks (1D-CNNs) that have ingrained adaptive model to avoid the feature extraction difficulties and fault classification into one learning algorithm. A proposed algorithm is directly usable with raw data and this deletes the need of a discrete feature extraction method resulting in more effective protective system. The proposed approach based on the three-phase voltages and currents signals of one end at the relay location in the transmission line system are taken as input to the proposed 1D-CNN algorithm. A 132kV power transmission line is simulated by Matlab simulink to prepare the training and testing data for the proposed 1D- CNN algorithm. The testing accuracy of the proposed algorithm is compared with other two conventional methods which are neural network and fuzzy neural network. The results of test explain that the new proposed detection system is efficient and fast for classifying and direction discrimination of fault in transmission line with high accuracy as compared with other conventional methods under various conditions of faults.</span>

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